Two resistances R₁ = X Ω and R₂ = 1 Ω are connected to a uniform-resistivity wire AB as shown. The wire radius varies linearly from 0.2 mm at A to 1.0 mm at B. A galvanometer connected at the midpoint (50 cm from each end) shows zero deflection. Find X.

Physics · Current electricity · Electrical Instruments: Galvanometer, Ammeter, Voltmeter & Potentiometer

JEE Advanced 2022

Two resistances R₁ = X Ω and R₂ = 1 Ω are connected to a uniform-resistivity wire AB as shown. The wire radius varies linearly from 0.2 mm at A to 1.0 mm at B. A galvanometer connected at the midpoint (50 cm from each end) shows zero deflection. Find X.

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